Dimensional reduction for Helmholtz's equation on an unbounded domain

被引：7
|
作者：
Liu, KM
机构：
[1] Department of Mathematics, Natl. Changhwa Univ. of Education, Changhwa 50058, Paisa Village
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 1997年 / 7卷 / 01期
关键词：
D O I：
10.1142/S0218202597000062
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The dimensional reduction method for solving boundary value problems of Helmholtz's equation in domain Omega d := R(n) x (-d, d) by replacing them with systems of equations in In are investigated. Basic tool to analyze dimensional reduction technique for problems on an unbounded domain Omega(d) is the use of Fourier transformation. The error estimates between the exact solution and the dimensionally reduced solution in some Hilbert space are obtained when d and N are given. The rates of convergence depend on the smoothness of the data on the faces.
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页码：81 / 111
页数：31
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